SAT Math Practice Question #139 (Foundational (515)) | Test Citadel
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SAT Math Difficulty: Foundational (515)

Digital SAT Math Practice Question #139

Test your problem-solving accuracy on this official-caliber item. Select an answer choice to check your reasoning instantly.

A technician charges a one-time flat fee plus an hourly rate to repair computers. The total cost \( C \), in dollars, for a repair that takes \( h \) hours is modeled by the equation \[ C = 45h + 60 \] What is the best interpretation of the number \( 60 \) in this context?
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Socratic AI Engine Step-by-Step Derivation
0ms Precomputed
Tactical Insight (Hint 1)

Check for special right triangles (\( 30^\circ-60^\circ-90^\circ \) or \( 45^\circ-45^\circ-90^\circ \)) or the complementary angle identity \( \sin(x) = \cos(90^\circ - x) \).

Elimination Framework (Hint 2)

Desmos Tactical Shortcut: Plot the left-hand side and right-hand side as separate equations (e.g. \( y_1 = f(x) \) and \( y_2 = g(x) \)). Click the intersection points directly to read exact coordinates.

Masterclass Solution & Distractor Trap Analysis

Whenever you see a linear model word problem like this on the SAT, I want you to immediately think of our old mathematical friend: slope-intercept form! The equation given is \( C = 45h + 60 \). This is perfectly structured as \( y = mx + b...

Distractor Analysis: Trap choice eliminates careless test-takers who confuse roots with coordinates...

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